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Some remarks about the derivation operator and generalized Stirling numbers
formal power series derivation operator Stirling num-bers
2011/2/22
Studying expressions of the form (f(x)D)p, where D = d dx is the derivation operator, goes back to Scherk’s Ph.D.
Derivation of an integral of Boros and Moll via convolution of Student t-densities
Quartic integral Student t-density
2010/12/6
We show that the evaluation of an integral considered by Boros and Moll is a special case of a convolution result about Student t-densities obtained by the authors in 2008.
Let R be a prime ring, char R\neq 2,3 \, s, t : R\rightarrow R two automorphisms, U a nonzero (s, t)- Lie ideal of R and o\neq d : R\rightarrow R a derivation such that s d = ds, t d = dt. In this pap...